Questions in Mechanical Properties of Solids

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The length of an iron wire is $L$ and area of cross-section is $A$. The increase in length is $l$ on applying the force $F$ on its two ends. Which of the statement is correct
The increase in length is $l$ of a wire of length $L$ by the longitudinal stress. Then the stress is proportional to
The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied
The ratio of the lengths of two wires A and B of same material is $1 : 2$ and the ratio of their diameter is $2 : 1$. They are stretched by the same force, then the ratio of increase in length will be
The Young's modulus of a wire of length $L$ and radius $r$ is Y $N/m^2$. If the length and radius are reduced to L/2 and r/2, then its Young's modulus will be
A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to
When a certain weight is suspended from a long uniform wire, its length increases by one cm. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one then the increase in length will be
Hook's law defines
A wire is loaded by 6 kg at its one end, the increase in length is 12 mm. If the radius of the wire is doubled and all other magnitudes are unchanged, then increase in length will be
The area of cross-section of a wire of length $1.1$ metre is $1 mm^2$. It is loaded with 1 kg. If Young's modulus of copper is $1.1\times {{10}^{11}}\,N/{{m}^{2}}$, then the increase in length will be (If $g=10\,m/{{s}^{2}})$

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